f) \( (3 x+5)(3 x-5)= \) g) \( (2 x-4)(2 x+4)= \) h) \( (x+2)^{3}= \) i) \( (x-4)^{3}= \)

Simplify the expression by following steps: - step0: Evaluate the power: \(\left(x-4\right)^{3}\) - step1: Expand the expression: \(x^{3}+3x^{2}\left(-4\right)+3x\left(-4\right)^{2}+\left(-4\right)^{3}\) - step2: Calculate: \(x^{3}-12x^{2}+48x-64\) Expand the expression \( (2 x-4)(2 x+4) \) Simplify the expression by following steps: - step0: Calculate: \(\left(2x-4\right)\left(2x+4\right)\) - step1: Multiply the expression: \(2^{2}\left(x^{2}-4\right)\) - step2: Rearrange the terms: \(2^{2}x^{2}-2^{4}\) - step3: Evaluate the power: \(4x^{2}-16\) Expand the expression \( (x+2)^{3} \) Simplify the expression by following steps: - step0: Evaluate the power: \(\left(x+2\right)^{3}\) - step1: Expand the expression: \(x^{3}+3x^{2}\times 2+3x\times 2^{2}+2^{3}\) - step2: Calculate: \(x^{3}+6x^{2}+12x+8\) Expand the expression \( (3 x+5)(3 x-5) \) Simplify the expression by following steps: - step0: Multiply the terms: \(\left(3x+5\right)\left(3x-5\right)\) - step1: Simplify the product: \(\left(3x\right)^{2}-5^{2}\) - step2: Evaluate the power: \(9x^{2}-25\) Aquí están las soluciones a las expresiones solicitadas: f) \( (3x + 5)(3x - 5) = 9x^{2} - 25 \) g) \( (2x - 4)(2x + 4) = 4x^{2} - 16 \) h) \( (x + 2)^{3} = x^{3} + 6x^{2} + 12x + 8 \) i) \( (x - 4)^{3} = x^{3} - 12x^{2} + 48x - 64 \)